Let the functions \(f: R \rightarrow R\) and \(g: R \rightarrow R\) be defined as: \[ f(x)=\left\{\begin{array}{cc} x+2,…

Let the functions \(f: R \rightarrow R\) and \(g: R \rightarrow R\) be defined as:
\[
f(x)=\left\{\begin{array}{cc}
x+2, & x<0 \\
x^2, & x \geq 0
\end{array} \text { and } g(x)=\left\{\begin{array}{cc}
x^3, & x<1 \\
3 x-2, & x \geq 1
\end{array}\right.\right.
\]

Then, the number of points in \(R\) where \((fog)(x)\) is NOT differentiable is equal to :

[JEE Main 2021, 16 Mar (Shift 1)]